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%% Started on  Fri Sep 30 11:27:44 2011 alex
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\title{Complex Analysis with Applications Notes}
\date{September 29, 2011}
\begin{document}
\maketitle
\begin{abstract}
These are notes from Dr Dmitry B.\ Fuchs' course (Math 185B) from
Spring 2009. This covers advanced complex analysis. The
``applications'' are to various fields of mathematics. 

NOTE: any errors are due to me, and not Dr Fuchs; and corrections
are welcome.
\end{abstract}
\tableofcontents
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\section*{Introduction}\renewcommand{\leftmark}{Introduction}\phantomsection\addcontentsline{toc}{section}{Introduction}
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\lecture{: Analytic Continuation}
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\lecture{}
I was sick for this lecture and missed it. It covered Riemann
surfaces, and introduced terminology (the family of discs which
constitute a Riemann surface, we will call them
\define{Relatives} and if they overlap they are \define{Close Relatives}
---note this is our own terminology, not found in the
literature). For a good reference, see Teleman's notes: \url{http://math.berkeley.edu/~teleman/math/Riemann.pdf}
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\end{document}
